253390417641 has 15 divisors (see below), whose sum is σ = 378528255853. Its totient is φ = 168923924820.

The previous prime is 253390417601. The next prime is 253390417699. The reversal of 253390417641 is 146714093352.

The square root of 253390417641 is 503379.

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

253390417641 is a `hidden beast` number, since 2 + 53 + 390 + 4 + 176 + 41 = 666.

It is not a de Polignac number, because 253390417641 - 2³⁷ = 115951464169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253390417601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4502446 + ... + 4558376.

Almost surely, 2^253390417641 is an apocalyptic number.

253390417641 is the 503379-th square number.

253390417641 is the 251690-th centered octagonal number.

It is an amenable number.

253390417641 is a deficient number, since it is larger than the sum of its proper divisors (125137838212).

253390417641 is an frugal number, since it uses more digits than its factorization.

253390417641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111874 (or 55934 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 253390417641 in words is "two hundred fifty-three billion, three hundred ninety million, four hundred seventeen thousand, six hundred forty-one".