253121332464 has 480 divisors, whose sum is σ = 962627387904. Its totient is φ = 59954411520.

The previous prime is 253121332459. The next prime is 253121332487. The reversal of 253121332464 is 464233121352.

253121332464 is a `hidden beast` number, since 2 + 5 + 312 + 1 + 332 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×253121332464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11953374 + ... + 11974530.

Almost surely, 2^253121332464 is an apocalyptic number.

253121332464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253121332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481313693952).

253121332464 is an abundant number, since it is smaller than the sum of its proper divisors (709506055440).

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

253121332464 is a wasteful number, since it uses less digits than its factorization.

253121332464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21285 (or 21276 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

It can be divided in two parts, 253121 and 332464, that added together give a palindrome (585585).

The spelling of 253121332464 in words is "two hundred fifty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, four hundred sixty-four".