20319077025 has 243 divisors, whose sum is σ = 42859305099. Its totient is φ = 9195863040.

The previous prime is 20319077017. The next prime is 20319077143. The reversal of 20319077025 is 52077091302.

The square root of 20319077025 is 142545.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14797992609 + 5521084416 = 121647^2 + 74304^2 .

It is not a de Polignac number, because 20319077025 - 2³ = 20319077017 is a prime.

It is a super-2 number, since 2×20319077025² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 472536654 + ... + 472536696.

Almost surely, 2^20319077025 is an apocalyptic number.

20319077025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20319077025 is the 142545-th square number.

20319077025 is the 71273-rd centered octagonal number.

It is an amenable number.

20319077025 is an abundant number, since it is smaller than the sum of its proper divisors (22540228074).

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

20319077025 is a wasteful number, since it uses less digits than its factorization.

20319077025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Multiplying 20319077025 by its sum of digits (36), we get a square (731486772900 = 855270²).

The spelling of 20319077025 in words is "twenty billion, three hundred nineteen million, seventy-seven thousand, twenty-five".