1254973505536 has 69 divisors (see below), whose sum is σ = 2514543668499. Its totient is φ = 626339610624.

The previous prime is 1254973505519. The next prime is 1254973505563. The reversal of 1254973505536 is 6355053794521.

The square root of 1254973505536 is 1120256.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2294284015 + ... + 2294284561.

Almost surely, 2^{1254973505536} is an apocalyptic number.

1254973505536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1254973505536 is the 1120256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254973505536

1254973505536 is an abundant number, since it is smaller than the sum of its proper divisors (1259570162963).

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

1254973505536 is an frugal number, since it uses more digits than its factorization.

1254973505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 55.

The spelling of 1254973505536 in words is "one trillion, two hundred fifty-four billion, nine hundred seventy-three million, five hundred five thousand, five hundred thirty-six".