1351505252496 has 160 divisors (see below), whose sum is σ = 4049905868800. Its totient is φ = 380384709120.

The previous prime is 1351505252453. The next prime is 1351505252497. The reversal of 1351505252496 is 6942525051531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1351505252497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11594826 + ... + 11710806.

It is an arithmetic number, because the mean of its divisors is an integer number (25311911680).

Almost surely, 2^{1351505252496} is an apocalyptic number.

1351505252496 is a gapful number since it is divisible by the number (16) 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 1351505252496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024952934400).

1351505252496 is an abundant number, since it is smaller than the sum of its proper divisors (2698400616304).

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

1351505252496 is a wasteful number, since it uses less digits than its factorization.

1351505252496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116517 (or 116511 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 1351505252496 in words is "one trillion, three hundred fifty-one billion, five hundred five million, two hundred fifty-two thousand, four hundred ninety-six".