1353309972 has 48 divisors (see below), whose sum is σ = 3765737472. Its totient is φ = 369848160.

The previous prime is 1353309967. The next prime is 1353309983. The reversal of 1353309972 is 2799033531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348304 + ... + 352167.

It is an arithmetic number, because the mean of its divisors is an integer number (78452864).

Almost surely, 2^1353309972 is an apocalyptic number.

1353309972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353309972 is an abundant number, since it is smaller than the sum of its proper divisors (2412427500).

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

1353309972 is a wasteful number, since it uses less digits than its factorization.

1353309972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700508 (or 700506 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 1353309972 is about 36787.3615797600. The cubic root of 1353309972 is about 1106.1119746847. Note that the first 3 decimals are identical.

The spelling of 1353309972 in words is "one billion, three hundred fifty-three million, three hundred nine thousand, nine hundred seventy-two".