1351965480 has 64 divisors (see below), whose sum is σ = 4064860800. Its totient is φ = 359727360.

The previous prime is 1351965449. The next prime is 1351965551. The reversal of 1351965480 is 845691531.

1351965480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1351965480² = 3655621318223260800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 43101 + ... + 67539.

It is an arithmetic number, because the mean of its divisors is an integer number (63513450).

Almost surely, 2^1351965480 is an apocalyptic number.

1351965480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351965480 is an abundant number, since it is smaller than the sum of its proper divisors (2712895320).

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

1351965480 is a wasteful number, since it uses less digits than its factorization.

1351965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24910 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 1351965480 is about 36769.0832085871. The cubic root of 1351965480 is about 1105.7455517431.

The spelling of 1351965480 in words is "one billion, three hundred fifty-one million, nine hundred sixty-five thousand, four hundred eighty".