61001000 has 32 divisors (see below), whose sum is σ = 142744680. Its totient is φ = 24400000.

The previous prime is 61000997. The next prime is 61001033. The reversal of 61001000 is 10016.

It can be written as a sum of positive squares in 4 ways, for example, as 22486564 + 38514436 = 4742^2 + 6206^2 .

It is a super-2 number, since 2×61001000² = 7442244002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29501 + ... + 31500.

Almost surely, 2^61001000 is an apocalyptic number.

It is an amenable number.

61001000 is an abundant number, since it is smaller than the sum of its proper divisors (81743680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61001000 is a wasteful number, since it uses less digits than its factorization.

61001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61022 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 61001000 is about 7810.3136940843. The cubic root of 61001000 is about 393.6518693898.

Adding to 61001000 its reverse (10016), we get a palindrome (61011016).

The spelling of 61001000 in words is "sixty-one million, one thousand".