491478113025 has 99 divisors (see below), whose sum is σ = 915731180841. Its totient is φ = 261667376640.

The previous prime is 491478113011. The next prime is 491478113039. The reversal of 491478113025 is 520311874194.

The square root of 491478113025 is 701055.

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

491478113025 is a `hidden beast` number, since 49 + 1 + 478 + 1 + 130 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (491478113011) and next prime (491478113039).

It can be written as a sum of positive squares in 4 ways, for example, as 138770405361 + 352707707664 = 372519^2 + 593892^2 .

It is not a de Polignac number, because 491478113025 - 2³¹ = 489330629377 is a prime.

It is a super-2 number, since 2×491478113025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 851781537 + ... + 851782113.

Almost surely, 2^491478113025 is an apocalyptic number.

491478113025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

491478113025 is the 701055-th square number.

491478113025 is the 350528-th centered octagonal number.

It is an amenable number.

491478113025 is a deficient number, since it is larger than the sum of its proper divisors (424253067816).

491478113025 is an frugal number, since it uses more digits than its factorization.

491478113025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 491478113025 in words is "four hundred ninety-one billion, four hundred seventy-eight million, one hundred thirteen thousand, twenty-five".