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151010512525 = 52173792197
BaseRepresentation
bin1000110010100011101…
…1011000111010001101
3112102210011220212110101
42030220323120322031
54433232142400100
6153212343211101
713624116114625
oct2145073307215
9472704825411
10151010512525
1159052552174
1225325146a91
1311317a2a572
147447a77885
153ddc68a86a
hex2328ed8e8d

151010512525 has 72 divisors (see below), whose sum is σ = 202527115560. Its totient is φ = 111692904960.

The previous prime is 151010512463. The next prime is 151010512529. The reversal of 151010512525 is 525215010151.

151010512525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3964339369 + 147046173156 = 62963^2 + 383466^2 .

It is not a de Polignac number, because 151010512525 - 217 = 151010381453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151010512493 and 151010512502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151010512529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 766550727 + ... + 766550923.

It is an arithmetic number, because the mean of its divisors is an integer number (2812876605).

Almost surely, 2151010512525 is an apocalyptic number.

It is an amenable number.

151010512525 is a deficient number, since it is larger than the sum of its proper divisors (51516603035).

151010512525 is an frugal number, since it uses more digits than its factorization.

151010512525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 28.

Adding to 151010512525 its reverse (525215010151), we get a palindrome (676225522676).

The spelling of 151010512525 in words is "one hundred fifty-one billion, ten million, five hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 17 25 79 85 197 289 395 425 985 1343 1445 1975 3349 4913 4925 6241 6715 7225 15563 16745 22831 24565 31205 33575 56933 77815 83725 106097 114155 122825 156025 264571 284665 388127 389075 530485 570775 967861 1229477 1322855 1423325 1803649 1940635 2652425 4497707 4839305 6147385 6614275 9018245 9703175 20901109 22488535 24196525 30662033 30736925 45091225 76461019 104505545 112442675 153310165 355318853 382305095 522527725 766550825 1776594265 1911525475 6040420501 8882971325 30202102505 151010512525