1257452735044 has 27 divisors (see below), whose sum is σ = 2418825339903. Its totient is φ = 571558211400.

The previous prime is 1257452735027. The next prime is 1257452735051. The reversal of 1257452735044 is 4405372547521.

It is a happy number.

The square root of 1257452735044 is 1121362.

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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24644479 + ... + 24695449.

Almost surely, 2^{1257452735044} is an apocalyptic number.

1257452735044 is the 1121362-nd square number.

It is an amenable number.

1257452735044 is a deficient number, since it is larger than the sum of its proper divisors (1161372604859).

1257452735044 is an frugal number, since it uses more digits than its factorization.

1257452735044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101968 (or 50984 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

Multiplying 1257452735044 by its sum of digits (49), we get a square (61615184017156 = 7849534²).

The spelling of 1257452735044 in words is "one trillion, two hundred fifty-seven billion, four hundred fifty-two million, seven hundred thirty-five thousand, forty-four".