1837382961001 has 27 divisors (see below), whose sum is σ = 2191230110583. Its totient is φ = 1536162173280.

The previous prime is 1837382960989. The next prime is 1837382961023. The reversal of 1837382961001 is 1001692837381.

It is a happy number.

The square root of 1837382961001 is 1355501.

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

It can be written as a sum of positive squares in only one way, i.e., 88535407401 + 1748847553600 = 297549^2 + 1322440^2 .

It is not a de Polignac number, because 1837382961001 - 2⁵ = 1837382960969 is a prime.

It is a super-2 number, since 2×1837382961001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1837382961041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 389026426 + ... + 389031148.

Almost surely, 2^{1837382961001} is an apocalyptic number.

1837382961001 is the 1355501-st square number.

1837382961001 is the 677751-st centered octagonal number.

It is an amenable number.

1837382961001 is a deficient number, since it is larger than the sum of its proper divisors (353847149582).

1837382961001 is an frugal number, since it uses more digits than its factorization.

1837382961001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 1837382961001 by its sum of digits (49), we get a square (90031765089049 = 9488507²).

1837382961001 divided by its sum of digits (49) gives a square (37497611449 = 193643²).

The spelling of 1837382961001 in words is "one trillion, eight hundred thirty-seven billion, three hundred eighty-two million, nine hundred sixty-one thousand, one".