1351272780 has 480 divisors, whose sum is σ = 5259260160. Its totient is φ = 285534720.

The previous prime is 1351272773. The next prime is 1351272803. The reversal of 1351272780 is 872721531.

1351272780 is a `hidden beast` number, since 1 + 3 + 512 + 72 + 78 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4401387 + ... + 4401693.

It is an arithmetic number, because the mean of its divisors is an integer number (10956792).

Almost surely, 2^1351272780 is an apocalyptic number.

1351272780 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 1351272780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629630080).

1351272780 is an abundant number, since it is smaller than the sum of its proper divisors (3907987380).

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

1351272780 is a wasteful number, since it uses less digits than its factorization.

1351272780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1351272780 is about 36759.6624032376. The cubic root of 1351272780 is about 1105.5566709845.

The spelling of 1351272780 in words is "one billion, three hundred fifty-one million, two hundred seventy-two thousand, seven hundred eighty".