810729164025 has 405 divisors, whose sum is σ = 1770036385117. Its totient is φ = 366500851200.

The previous prime is 810729163969. The next prime is 810729164039. The reversal of 810729164025 is 520461927018.

The square root of 810729164025 is 900405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18963768681 + 791765395344 = 137709^2 + 889812^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 810729164025 - 2⁷ = 810729163897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 7576908022 + ... + 7576908128.

Almost surely, 2^810729164025 is an apocalyptic number.

810729164025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

810729164025 is the 900405-th square number.

810729164025 is the 450203-rd centered octagonal number.

It is an amenable number.

810729164025 is an abundant number, since it is smaller than the sum of its proper divisors (959307221092).

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

810729164025 is a wasteful number, since it uses less digits than its factorization.

810729164025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 810729164025 in words is "eight hundred ten billion, seven hundred twenty-nine million, one hundred sixty-four thousand, twenty-five".