249676404601 has 16 divisors (see below), whose sum is σ = 269477879440. Its totient is φ = 229960581120.

The previous prime is 249676404563. The next prime is 249676404623. The reversal of 249676404601 is 106404676942.

249676404601 = 353324² + 353325².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8953701376 + 240722703225 = 94624^2 + 490635^2 .

It is a 7-Lehmer number, since φ(249676404601) divides (249676404601-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 249676404601 - 2²⁵ = 249642850169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249676404001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11515711 + ... + 11537371.

It is an arithmetic number, because the mean of its divisors is an integer number (16842367465).

Almost surely, 2^249676404601 is an apocalyptic number.

249676404601 is the 353325-th centered square number.

It is an amenable number.

249676404601 is a deficient number, since it is larger than the sum of its proper divisors (19801474839).

249676404601 is a wasteful number, since it uses less digits than its factorization.

249676404601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23596.

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 249676404601 in words is "two hundred forty-nine billion, six hundred seventy-six million, four hundred four thousand, six hundred one".