1253205251400 has 192 divisors, whose sum is σ = 3994672449600. Its totient is φ = 324769858560.

The previous prime is 1253205251383. The next prime is 1253205251411. The reversal of 1253205251400 is 41525023521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18903511 + ... + 18969689.

It is an arithmetic number, because the mean of its divisors is an integer number (20805585675).

Almost surely, 2^{1253205251400} is an apocalyptic number.

1253205251400 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 1253205251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997336224800).

1253205251400 is an abundant number, since it is smaller than the sum of its proper divisors (2741467198200).

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

1253205251400 is a wasteful number, since it uses less digits than its factorization.

1253205251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67088 (or 67079 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1253205251400 in words is "one trillion, two hundred fifty-three billion, two hundred five million, two hundred fifty-one thousand, four hundred".