253065654240 has 192 divisors, whose sum is σ = 958985879040. Its totient is φ = 54799165440.

The previous prime is 253065654229. The next prime is 253065654251. The reversal of 253065654240 is 42456560352.

It is an interprime number because it is at equal distance from previous prime (253065654229) and next prime (253065654251).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 253065654192 and 253065654201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918191 + ... + 2045870.

It is an arithmetic number, because the mean of its divisors is an integer number (4994718120).

Almost surely, 2^253065654240 is an apocalyptic number.

253065654240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253065654240 is an abundant number, since it is smaller than the sum of its proper divisors (705920224800).

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

253065654240 is a wasteful number, since it uses less digits than its factorization.

253065654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964105 (or 3964097 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 253065654240 in words is "two hundred fifty-three billion, sixty-five million, six hundred fifty-four thousand, two hundred forty".