164501557127325 has 120 divisors (see below), whose sum is σ = 333372982361760. Its totient is φ = 79528475894400.

The previous prime is 164501557127311. The next prime is 164501557127329. The reversal of 164501557127325 is 523721755105461.

164501557127325 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 1 + 557 + 12 + 73 + 2 + 5 = 666.

It is not a de Polignac number, because 164501557127325 - 2¹⁹ = 164501556603037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164501557127329) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2911830 + ... + 18370679.

It is an arithmetic number, because the mean of its divisors is an integer number (2778108186348).

Almost surely, 2^{164501557127325} is an apocalyptic number.

164501557127325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164501557127325 is an abundant number, since it is smaller than the sum of its proper divisors (168871425234435).

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

164501557127325 is a wasteful number, since it uses less digits than its factorization.

164501557127325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21282889 (or 21282875 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 164501557127325 in words is "one hundred sixty-four trillion, five hundred one billion, five hundred fifty-seven million, one hundred twenty-seven thousand, three hundred twenty-five".