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152525253213 = 32712141111487
BaseRepresentation
bin1000111000001100110…
…1101010101001011101
3112120200202011200001100
42032003031222221131
54444332431100323
6154022533303313
714006501155344
oct2160315525135
9476622150040
10152525253213
115975a590283
1225688494b39
13114c97b1128
14754ccd6b5b
153e7a647943
hex238336aa5d

152525253213 has 24 divisors (see below), whose sum is σ = 223523629056. Its totient is φ = 100203616800.

The previous prime is 152525253211. The next prime is 152525253247. The reversal of 152525253213 is 312352525251.

152525253213 is a `hidden beast` number, since 1 + 52 + 52 + 525 + 32 + 1 + 3 = 666.

152525253213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152525253213 - 21 = 152525253211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152525253211) 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 23 ways as a sum of consecutive naturals, for example, 1312356 + ... + 1423842.

It is an arithmetic number, because the mean of its divisors is an integer number (9313484544).

Almost surely, 2152525253213 is an apocalyptic number.

It is an amenable number.

152525253213 is a deficient number, since it is larger than the sum of its proper divisors (70998375843).

152525253213 is a wasteful number, since it uses less digits than its factorization.

152525253213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113705 (or 113702 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

Adding to 152525253213 its reverse (312352525251), we get a palindrome (464877778464).

The spelling of 152525253213 in words is "one hundred fifty-two billion, five hundred twenty-five million, two hundred fifty-three thousand, two hundred thirteen".

Divisors: 1 3 9 71 213 639 2141 6423 19269 111487 152011 334461 456033 1003383 1368099 7915577 23746731 71240193 238693667 716081001 2148243003 16947250357 50841751071 152525253213