1052254631400 has 192 divisors, whose sum is σ = 3729399398400. Its totient is φ = 240424277760.

The previous prime is 1052254631347. The next prime is 1052254631401. The reversal of 1052254631400 is 41364522501.

It is a super-2 number, since 2×1052254631400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052254631401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11373729 + ... + 11465871.

It is an arithmetic number, because the mean of its divisors is an integer number (19423955200).

Almost surely, 2^{1052254631400} is an apocalyptic number.

1052254631400 is a gapful number since it is divisible by the number (10) 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 1052254631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864699699200).

1052254631400 is an abundant number, since it is smaller than the sum of its proper divisors (2677144767000).

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

1052254631400 is a wasteful number, since it uses less digits than its factorization.

1052254631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94888 (or 94879 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1052254631400 in words is "one trillion, fifty-two billion, two hundred fifty-four million, six hundred thirty-one thousand, four hundred".