1012525311001 has 2 divisors, whose sum is σ = 1012525311002. Its totient is φ = 1012525311000.

The previous prime is 1012525310989. The next prime is 1012525311101. The reversal of 1012525311001 is 1001135252101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 949650250000 + 62875061001 = 974500^2 + 250749^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012525311001 - 2¹¹ = 1012525308953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012525311101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506262655500 + 506262655501.

It is an arithmetic number, because the mean of its divisors is an integer number (506262655501).

Almost surely, 2^{1012525311001} is an apocalyptic number.

It is an amenable number.

1012525311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012525311001 is an equidigital number, since it uses as much as digits as its factorization.

1012525311001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 1012525311001 in words is "one trillion, twelve billion, five hundred twenty-five million, three hundred eleven thousand, one".