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5257117525 = 5211157121763
BaseRepresentation
bin1001110010101100…
…10011111101010101
3111120101012020111111
410321112103331111
541231310230100
62225354135021
7244163522152
oct47126237525
914511166444
105257117525
112258562230
121028721471
1365a1c3b3a
1437c2b1229
1520b7e46ba
hex139593f55

5257117525 has 24 divisors (see below), whose sum is σ = 7156800864. Its totient is φ = 3798974400.

The previous prime is 5257117513. The next prime is 5257117529.

It is a happy number.

5257117525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5257117525 - 211 = 5257115477 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257117529) 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, 17707 + ... + 104056.

It is an arithmetic number, because the mean of its divisors is an integer number (298200036).

Almost surely, 25257117525 is an apocalyptic number.

5257117525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5257117525 is a deficient number, since it is larger than the sum of its proper divisors (1899683339).

5257117525 is a wasteful number, since it uses less digits than its factorization.

5257117525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121941 (or 121936 counting only the distinct ones).

The product of its digits is 122500, while the sum is 40.

The square root of 5257117525 is about 72505.9826841896. The cubic root of 5257117525 is about 1738.7983870298.

The spelling of 5257117525 in words is "five billion, two hundred fifty-seven million, one hundred seventeen thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 157 275 785 1727 3925 8635 43175 121763 608815 1339393 3044075 6696965 19116791 33484825 95583955 210284701 477919775 1051423505 5257117525