1253607264 has 288 divisors, whose sum is σ = 4532097024. Its totient is φ = 319749120.

The previous prime is 1253607259. The next prime is 1253607281. The reversal of 1253607264 is 4627063521.

1253607264 is a `hidden beast` number, since 1 + 25 + 3 + 607 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811677 + ... + 813219.

It is an arithmetic number, because the mean of its divisors is an integer number (15736448).

Almost surely, 2^1253607264 is an apocalyptic number.

1253607264 is a gapful number since it is divisible by the number (14) 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 1253607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266048512).

1253607264 is an abundant number, since it is smaller than the sum of its proper divisors (3278489760).

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

1253607264 is a wasteful number, since it uses less digits than its factorization.

1253607264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1253607264 is about 35406.3167245620. The cubic root of 1253607264 is about 1078.2525651301.

The spelling of 1253607264 in words is "one billion, two hundred fifty-three million, six hundred seven thousand, two hundred sixty-four".