2520526401 has 12 divisors (see below), whose sum is σ = 3649936212. Its totient is φ = 1676115936.

The previous prime is 2520526397. The next prime is 2520526417. The reversal of 2520526401 is 1046250252.

2520526401 is a `hidden beast` number, since 252 + 0 + 5 + 2 + 6 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1501640001 + 1018886400 = 38751^2 + 31920^2 .

It is not a de Polignac number, because 2520526401 - 2² = 2520526397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2520526451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349146 + ... + 356291.

It is an arithmetic number, because the mean of its divisors is an integer number (304161351).

Almost surely, 2^2520526401 is an apocalyptic number.

It is an amenable number.

2520526401 is a deficient number, since it is larger than the sum of its proper divisors (1129409811).

2520526401 is a wasteful number, since it uses less digits than its factorization.

2520526401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705840 (or 705837 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2520526401 is about 50204.8443977272. The cubic root of 2520526401 is about 1360.9131700566.

Adding to 2520526401 its reverse (1046250252), we get a palindrome (3566776653).

The spelling of 2520526401 in words is "two billion, five hundred twenty million, five hundred twenty-six thousand, four hundred one".