1258724681041 has 9 divisors (see below), whose sum is σ = 1266678324009. Its totient is φ = 1250820691236.

The previous prime is 1258724681029. The next prime is 1258724681077. The reversal of 1258724681041 is 1401864278521.

The square root of 1258724681041 is 1121929.

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

It is not a de Polignac number, because 1258724681041 - 2⁵ = 1258724681009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1258724681021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182870986 + ... + 182877868.

It is an arithmetic number, because the mean of its divisors is an integer number (140742036001).

Almost surely, 2^{1258724681041} is an apocalyptic number.

1258724681041 is the 1121929-th square number.

1258724681041 is the 560965-th centered octagonal number.

It is an amenable number.

1258724681041 is a deficient number, since it is larger than the sum of its proper divisors (7953642968).

1258724681041 is an frugal number, since it uses more digits than its factorization.

1258724681041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

Multiplying 1258724681041 by its sum of digits (49), we get a square (61677509371009 = 7853503²).

The spelling of 1258724681041 in words is "one trillion, two hundred fifty-eight billion, seven hundred twenty-four million, six hundred eighty-one thousand, forty-one".