1531208256400 has 45 divisors (see below), whose sum is σ = 3678787294993. Its totient is φ = 612473403200.

The previous prime is 1531208256343. The next prime is 1531208256401. The reversal of 1531208256400 is 46528021351.

The square root of 1531208256400 is 1237420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 551234972304 + 979973284096 = 742452^2 + 989936^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1531208256400.

It is not an unprimeable number, because it can be changed into a prime (1531208256401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24717465 + ... + 24779335.

Almost surely, 2^{1531208256400} is an apocalyptic number.

1531208256400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1531208256400 is the 1237420-th square number.

It is an amenable number.

1531208256400 is an abundant number, since it is smaller than the sum of its proper divisors (2147579038593).

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

1531208256400 is an frugal number, since it uses more digits than its factorization.

1531208256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123760 (or 61878 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1531208256400 in words is "one trillion, five hundred thirty-one billion, two hundred eight million, two hundred fifty-six thousand, four hundred".