601408005025 has 27 divisors (see below), whose sum is σ = 763703906931. Its totient is φ = 469807133040.

The previous prime is 601408004999. The next prime is 601408005053. The reversal of 601408005025 is 520500804106.

The square root of 601408005025 is 775505.

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

It can be written as a sum of positive squares in only one way, i.e., 216506881809 + 384901123216 = 465303^2 + 620404^2 .

It is not a de Polignac number, because 601408005025 - 2⁵ = 601408004993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166731772 + ... + 166735378.

Almost surely, 2^601408005025 is an apocalyptic number.

601408005025 is the 775505-th square number.

601408005025 is the 387753-rd centered octagonal number.

It is an amenable number.

601408005025 is a deficient number, since it is larger than the sum of its proper divisors (162295901906).

601408005025 is an frugal number, since it uses more digits than its factorization.

601408005025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 601408005025 in words is "six hundred one billion, four hundred eight million, five thousand, twenty-five".