1457947577025 has 81 divisors (see below), whose sum is σ = 2640770388763. Its totient is φ = 768907344000.

The previous prime is 1457947577003. The next prime is 1457947577081. The reversal of 1457947577025 is 5207757497541.

The square root of 1457947577025 is 1207455.

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

1457947577025 is a `hidden beast` number, since 1 + 4 + 5 + 79 + 475 + 7 + 70 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 177401858481 + 1280545718544 = 421191^2 + 1131612^2 .

It is not a de Polignac number, because 1457947577025 - 2⁵ = 1457947576993 is a prime.

It is a super-2 number, since 2×1457947577025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1829293927 + ... + 1829294723.

Almost surely, 2^{1457947577025} is an apocalyptic number.

1457947577025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1457947577025 is the 1207455-th square number.

1457947577025 is the 603728-th centered octagonal number.

It is an amenable number.

1457947577025 is a deficient number, since it is larger than the sum of its proper divisors (1182822811738).

1457947577025 is an frugal number, since it uses more digits than its factorization.

1457947577025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 86436000, while the sum is 63.

The spelling of 1457947577025 in words is "one trillion, four hundred fifty-seven billion, nine hundred forty-seven million, five hundred seventy-seven thousand, twenty-five".