253107561829248 has 4096 divisors, whose sum is σ = 990668390400000. Its totient is φ = 62004435517440.

The previous prime is 253107561829219. The next prime is 253107561829259. The reversal of 253107561829248 is 842928165701352.

It is a happy number.

253107561829248 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 0 + 7 + 5 + 618 + 2 + 9 + 2 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2457354969165 + ... + 2457354969267.

It is an arithmetic number, because the mean of its divisors is an integer number (241862400000).

It is a 1-persistent number, because it is pandigital, but 2⋅253107561829248 = 506215123658496 is not.

Almost surely, 2^{253107561829248} is an apocalyptic number.

253107561829248 is a gapful number since it is divisible by the number (28) 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 253107561829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495334195200000).

253107561829248 is an abundant number, since it is smaller than the sum of its proper divisors (737560828570752).

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

253107561829248 is a wasteful number, since it uses less digits than its factorization.

253107561829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 253107561829248 in words is "two hundred fifty-three trillion, one hundred seven billion, five hundred sixty-one million, eight hundred twenty-nine thousand, two hundred forty-eight".