1457802686025 has 135 divisors (see below), whose sum is σ = 3142048447461. Its totient is φ = 666250220160.

The previous prime is 1457802686023. The next prime is 1457802686027. The reversal of 1457802686025 is 5206862087541.

The square root of 1457802686025 is 1207395.

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

1457802686025 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 8 + 0 + 26 + 8 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1457802686023) and next prime (1457802686027).

It can be written as a sum of positive squares in 4 ways, for example, as 267722421561 + 1190080264464 = 517419^2 + 1090908^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1457802686025 - 2¹ = 1457802686023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1457802686023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 380327509 + ... + 380331341.

Almost surely, 2^{1457802686025} is an apocalyptic number.

1457802686025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1457802686025 is the 1207395-th square number.

1457802686025 is the 603698-th centered octagonal number.

It is an amenable number.

1457802686025 is an abundant number, since it is smaller than the sum of its proper divisors (1684245761436).

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

1457802686025 is an frugal number, since it uses more digits than its factorization.

1457802686025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1457802686025 in words is "one trillion, four hundred fifty-seven billion, eight hundred two million, six hundred eighty-six thousand, twenty-five".