95152567125 has 384 divisors, whose sum is σ = 208969113600. Its totient is φ = 38001600000.

The previous prime is 95152567121. The next prime is 95152567141. The reversal of 95152567125 is 52176525159.

It is not a de Polignac number, because 95152567125 - 2² = 95152567121 is a prime.

It is a super-2 number, since 2×95152567125² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95152567121) 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 383 ways as a sum of consecutive naturals, for example, 942104575 + ... + 942104675.

It is an arithmetic number, because the mean of its divisors is an integer number (544190400).

Almost surely, 2^95152567125 is an apocalyptic number.

It is an amenable number.

95152567125 is an abundant number, since it is smaller than the sum of its proper divisors (113816546475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95152567125 is a wasteful number, since it uses less digits than its factorization.

95152567125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its digits is 945000, while the sum is 48.

The spelling of 95152567125 in words is "ninety-five billion, one hundred fifty-two million, five hundred sixty-seven thousand, one hundred twenty-five".