701146649025 has 27 divisors (see below), whose sum is σ = 1255854050659. Its totient is φ = 373938180720.

The previous prime is 701146648997. The next prime is 701146649029. The reversal of 701146649025 is 520946641107.

The square root of 701146649025 is 837345.

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

701146649025 is a `hidden beast` number, since 70 + 1 + 14 + 66 + 490 + 25 = 666.

701146649025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 252412793649 + 448733855376 = 502407^2 + 669876^2 .

It is not a de Polignac number, because 701146649025 - 2²⁵ = 701113094593 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (701146649029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12532264 + ... + 12588086.

Almost surely, 2^701146649025 is an apocalyptic number.

701146649025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

701146649025 is the 837345-th square number.

701146649025 is the 418673-rd centered octagonal number.

It is an amenable number.

701146649025 is a deficient number, since it is larger than the sum of its proper divisors (554707401634).

701146649025 is an frugal number, since it uses more digits than its factorization.

701146649025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111662 (or 55831 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 701146649025 in words is "seven hundred one billion, one hundred forty-six million, six hundred forty-nine thousand, twenty-five".