1252002107041 has 81 divisors (see below), whose sum is σ = 1579320982449. Its totient is φ = 989473390416.

The previous prime is 1252002106973. The next prime is 1252002107063. The reversal of 1252002107041 is 1407012002521.

The square root of 1252002107041 is 1118929.

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

It is not a de Polignac number, because 1252002107041 - 2¹⁵ = 1252002074273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252002106997 and 1252002107015.

It is not an unprimeable number, because it can be changed into a prime (1252000107041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6994425090 + ... + 6994425268.

Almost surely, 2^{1252002107041} is an apocalyptic number.

1252002107041 is the 1118929-th square number.

1252002107041 is the 559465-th centered octagonal number.

It is an amenable number.

1252002107041 is a deficient number, since it is larger than the sum of its proper divisors (327318875408).

1252002107041 is an frugal number, since it uses more digits than its factorization.

1252002107041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Multiplying 1252002107041 by its sum of digits (25), we get a square (31300052676025 = 5594645²).

Adding to 1252002107041 its reverse (1407012002521), we get a palindrome (2659014109562).

The spelling of 1252002107041 in words is "one trillion, two hundred fifty-two billion, two million, one hundred seven thousand, forty-one".