1253361600 has 420 divisors, whose sum is σ = 4859045400. Its totient is φ = 316016640.

The previous prime is 1253361587. The next prime is 1253361607. The reversal of 1253361600 is 61633521.

1253361600 is a `hidden beast` number, since 1 + 2 + 53 + 3 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253361607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462146 + ... + 2462654.

Almost surely, 2^1253361600 is an apocalyptic number.

1253361600 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 1253361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429522700).

1253361600 is an abundant number, since it is smaller than the sum of its proper divisors (3605683800).

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

1253361600 is a wasteful number, since it uses less digits than its factorization.

1253361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1253361600 is about 35402.8473431163. The cubic root of 1253361600 is about 1078.1821270296.

The spelling of 1253361600 in words is "one billion, two hundred fifty-three million, three hundred sixty-one thousand, six hundred".