1825827911901 has 48 divisors (see below), whose sum is σ = 3123763493760. Its totient is φ = 1005490765440.

The previous prime is 1825827911863. The next prime is 1825827911993. The reversal of 1825827911901 is 1091197285281.

It is a happy number.

1825827911901 is a `hidden beast` number, since 1 + 8 + 258 + 279 + 119 + 0 + 1 = 666.

It is not a de Polignac number, because 1825827911901 - 2⁹ = 1825827911389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825827916901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64786 + ... + 1912028.

It is an arithmetic number, because the mean of its divisors is an integer number (65078406120).

Almost surely, 2^{1825827911901} is an apocalyptic number.

It is an amenable number.

1825827911901 is a deficient number, since it is larger than the sum of its proper divisors (1297935581859).

1825827911901 is a wasteful number, since it uses less digits than its factorization.

1825827911901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847826 (or 1847823 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 1825827911901 in words is "one trillion, eight hundred twenty-five billion, eight hundred twenty-seven million, nine hundred eleven thousand, nine hundred one".