254079507969 has 135 divisors (see below), whose sum is σ = 448118368737. Its totient is φ = 144045075384.

The previous prime is 254079507959. The next prime is 254079507971. The reversal of 254079507969 is 969705970452.

The square root of 254079507969 is 504063.

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

254079507969 is a `hidden beast` number, since 2 + 54 + 0 + 79 + 507 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 254079507969 - 2⁷ = 254079507841 is a prime.

It is a super-2 number, since 2×254079507969² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (254079507959) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2000625984 + ... + 2000626110.

Almost surely, 2^254079507969 is an apocalyptic number.

254079507969 is the 504063-rd square number.

254079507969 is the 252032-nd centered octagonal number.

It is an amenable number.

254079507969 is a deficient number, since it is larger than the sum of its proper divisors (194038860768).

254079507969 is an frugal number, since it uses more digits than its factorization.

254079507969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 254079507969 in words is "two hundred fifty-four billion, seventy-nine million, five hundred seven thousand, nine hundred sixty-nine".